46 811 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
13481569	8	23.7	old
5129830247	10	32.3	2008-08-26 20:04:57
269996579423	12	38.0	2008-08-26 20:04:58
3107823656038103	16	51.5	2008-08-29 02:24:51
197566288534657759	18	57.5	2008-08-26 20:04:58
6925886031361587226688161	25	82.5	2016-12-29 21:45:36
4411324362502490627168229103633	31	101.8	2018-10-16 19:48:17
26212427605864279108525472085395767	35	114.3	2023-12-03 04:37:23

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	623 / 4588

Estimated T-Level: 35.7 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	89462C4E15084DD7	6	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	89462C4E15084DD7	6	0	1	3
Verified (Factored)	2017-12-07	ATH	89462C4E15084DD7	6	26032	1	3
Verified (Factored)	2018-10-19	-Anonymous-	5261FEAAB40A00AA	7	21189	5	3
Verified (Factored)	2018-10-20	Oliver Kruse	5261FEAAB40A00AA	7	25113	5	3
Verified	2023-12-03	masser	5261FEAAB40A00AA	8	35021	5	3

History

Date	User	Type	Result
2023-12-03	masser	C-PRP	M46811/13481569/5129830247/269996579423/197566288534657759/3107823656038103/6925886031361587226688161/4411324362502490627168229103633/26212427605864279108525472085395767 : 5261FEAAB40A00AA PRP: Verified PRP without proof (small exponent)
2023-12-03	masser	F-ECM	Factor: 26212427605864279108525472085395767 / (ECM curve 16, B1=2842460, B2=7443145710, Edwards Sigma=8973597966026109)
2023-05-12	JacobZ	NF-PM1	B1=760000000, B2=537271789304250
2021-04-13	Seth_Tr	NF-PM1	B1=400000000, B2=76400000000
2021-03-15	Seth_Tr	NF-PM1	B1=200000000, B2=34200000000
2018-10-20	Oliver Kruse	C-PRP	M46811/13481569/5129830247/269996579423/197566288534657759/3107823656038103/6925886031361587226688161/4411324362502490627168229103633 : 5261FEAAB40A00AA PRP: Verified PRP without proof (small exponent)
2018-10-19	-Anonymous-	C-PRP	M46811/13481569/5129830247/269996579423/3107823656038103/197566288534657759/6925886031361587226688161/4411324362502490627168229103633 : 5261FEAAB40A00AA PRP: Verified PRP without proof (small exponent)
2018-10-16	Niels_Mache_Nextcloud	F-ECM	Factor: 4411324362502490627168229103633 / (ECM curve 1, B1=1000000, B2=100000000)
2017-12-07	ATH	C-PRP	M46811/13481569/5129830247/269996579423/3107823656038103/197566288534657759/6925886031361587226688161 : 89462C4E15084DD7 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M46811/13481569/5129830247/269996579423/3107823656038103/197566288534657759/6925886031361587226688161 : 89462C4E15084DD7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M46811/known_factors : 89462C4E15084DD7 PRP without proof (not generated)
2016-12-29	kkmrkkblmbrbk	F-ECM	Factor: 6925886031361587226688161 / (ECM curve 40, B1=250000, B2=25000000)
2016-09-26	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-29	-Anonymous-	F	Factor: 3107823656038103
2008-08-26	-Anonymous-	F-ECM	Factor: 197566288534657759
2008-08-26	-Anonymous-	F	Factor: 269996579423
2008-08-26	-Anonymous-	F	Factor: 5129830247